The Final Value Problem for Evolution Equations
نویسنده
چکیده
satisfying the prescribed final-value, u(T) = f. We assume A is maximal accretive, so the problem is generally not well-posed. Assume in addition that A2 is accretive. We shall demonstrate that there is at most one solution of this problem, and we give a constructive quasireversibility method of constructing solutions of (1.1) which approximately satisfy the final condition. In particular, one lets 01 > 0 and solves backward the “reversible” approximation to (1.1) given by
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